Is 4096 a deficient number and what is its deficiency?

Is 4096 a deficient number?

Here we will explain and calculate if 4096 is a deficient number and its deficiency if applicable.

4096 is a deficient number if the sum of its proper divisors is less than 4096.

The sum of its proper divisors is calculated as follows: 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024 + 2048 = 4095.

4095 is less than 4096. Therefore, 4096 is a deficient number.

The deficiency of 4096 is 4096 minus the sum of its proper divisors. Thus, the deficiency of 4096 is 4096 - 4095 = 1

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